If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and A = {1, 3, 5, 7, 9}. Find A′.
Question
If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and A = {1, 3, 5, 7, 9}. Find A′.
Solution
A' is the complement of set A in U. It consists of all the elements that are in U but not in A.
Step 1: Identify the elements in set U. These are {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.
Step 2: Identify the elements in set A. These are {1, 3, 5, 7, 9}.
Step 3: Subtract the elements of set A from set U. This means we remove all elements that are in A from U.
Step 4: The remaining elements form the set A′.
So, A′ = {2, 4, 6, 8, 10}.
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